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arXiv 0708.3574cond-mat.mes-hall
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一维非相互作用电子系统中振荡势的非绝热电荷泵

Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potential

Amit Agarwal, Diptiman Sen

摘要:

利用紧束缚模型,研究了一维非相互作用电子系统中的单参数电荷泵。在一个部位施加振荡电位,而在不同区域施加静态电位。用Floquet散射理论计算了电流的二阶振荡幅度和精确的振荡频率。对于低频率,每个周期泵浦的电荷与频率成比例,因此在绝热极限中消失。如果静电势存在束缚态,我们发现如果振荡势能将束缚态激发到连续态,则束缚态对泵浦电荷有显著影响,反之亦然。最后,我们使用密度矩阵的运动方程来数值计算任何振幅和频率值的泵浦电流。数值结果证实了束缚态的不寻常效应。

英文摘要:

Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using Floquet scattering theory, we calculate the current up to second order in the oscillation amplitude and exactly in the oscillation frequency. For low frequency, the charge pumped per cycle is proportional to the frequency and therefore vanishes in the adiabatic limit. If the static potential has a bound state, we find that such a state has a significant effect on the pumped charge if the oscillating potential can excite the bound state into the continuum states or vice versa. Finally, we use the equation of motion for the density matrix to numerically compute the pumped current for any value of the amplitude and frequency. The numerical results confirm the unusual effect of a bound state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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